3a-9=5a-23

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Solution for 3a-9=5a-23 equation:


Simplifying
3a + -9 = 5a + -23

Reorder the terms:
-9 + 3a = 5a + -23

Reorder the terms:
-9 + 3a = -23 + 5a

Solving
-9 + 3a = -23 + 5a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-5a' to each side of the equation.
-9 + 3a + -5a = -23 + 5a + -5a

Combine like terms: 3a + -5a = -2a
-9 + -2a = -23 + 5a + -5a

Combine like terms: 5a + -5a = 0
-9 + -2a = -23 + 0
-9 + -2a = -23

Add '9' to each side of the equation.
-9 + 9 + -2a = -23 + 9

Combine like terms: -9 + 9 = 0
0 + -2a = -23 + 9
-2a = -23 + 9

Combine like terms: -23 + 9 = -14
-2a = -14

Divide each side by '-2'.
a = 7

Simplifying
a = 7

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